High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
15th Edition
ISBN: 9780133281163
Author: Prentice Hall
Publisher: Prentice Hall
Expert Solution & Answer
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Chapter 13.7, Problem 39PPSE
Solution

To find: The equation of translated function which shifts y=cosx , 1.5 units to the right.

The equation of translated function is written as y=cosx1.5 .

Given:

The parent function to translate 1.5 units to the right is y=cosx

Concept:

  1. The horizontal translation of the function fx is gx=fxh where h is the amount of phase shift. If h>0 the phase shift is towards right and if h<0 the phase shift is towards left.
  2. The vertical translation of the function fx is gx=fx+k where k is the amount of midline the midline shift. If k>0 the midline shift is vertically upwards and if k<0 the midline shift is vertically downwards.

Calculation:

With the help of concept stated above using the clause a , the parent function y=cosx is shifted 1.5 units to the right which means h=1.5 . Therefore, the translated function is written as:

  y=cosx ....Giveny=cosxh ....Translated functiony=cosx1.5 ....Substitute h=1.5y=cosx1.5

Conclusion:

The equation of translated function is written as y=cosx1.5 .

Chapter 13 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 13.1 - Prob. 11PPSECh. 13.1 - Prob. 12PPSECh. 13.1 - Prob. 13PPSECh. 13.1 - Prob. 14PPSECh. 13.1 - Prob. 15PPSECh. 13.1 - Prob. 16PPSECh. 13.1 - Prob. 17PPSECh. 13.1 - Prob. 18PPSECh. 13.1 - Prob. 19PPSECh. 13.1 - Prob. 20PPSECh. 13.1 - Prob. 21PPSECh. 13.1 - Prob. 22PPSECh. 13.1 - Prob. 23PPSECh. 13.1 - Prob. 24PPSECh. 13.1 - Prob. 25PPSECh. 13.1 - Prob. 26PPSECh. 13.1 - Prob. 27PPSECh. 13.1 - Prob. 28PPSECh. 13.1 - Prob. 29PPSECh. 13.1 - Prob. 30PPSECh. 13.1 - Prob. 31PPSECh. 13.1 - Prob. 32PPSECh. 13.1 - Prob. 33PPSECh. 13.1 - Prob. 34PPSECh. 13.1 - Prob. 35PPSECh. 13.1 - Prob. 36PPSECh. 13.1 - Prob. 37PPSECh. 13.1 - Prob. 38PPSECh. 13.1 - Prob. 39PPSECh. 13.1 - Prob. 40PPSECh. 13.1 - Prob. 41PPSECh. 13.2 - Prob. 1ECh. 13.2 - Prob. 2ECh. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - Prob. 5ECh. 13.2 - Prob. 6ECh. 13.2 - Prob. 7ECh. 13.2 - Prob. 8ECh. 13.2 - Prob. 1LCCh. 13.2 - Prob. 2LCCh. 13.2 - Prob. 3LCCh. 13.2 - Prob. 4LCCh. 13.2 - Prob. 5LCCh. 13.2 - Prob. 6LCCh. 13.2 - Prob. 7PPSECh. 13.2 - 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Prob. 38PPSECh. 13.5 - Prob. 39PPSECh. 13.5 - Prob. 40PPSECh. 13.5 - Prob. 41PPSECh. 13.5 - Prob. 42PPSECh. 13.5 - Prob. 43PPSECh. 13.5 - Prob. 44PPSECh. 13.5 - Prob. 45PPSECh. 13.5 - Prob. 46PPSECh. 13.5 - Prob. 47PPSECh. 13.5 - Prob. 48PPSECh. 13.5 - Prob. 49PPSECh. 13.5 - Prob. 50PPSECh. 13.6 - Prob. 1LCCh. 13.6 - Prob. 2LCCh. 13.6 - Prob. 3LCCh. 13.6 - Prob. 4LCCh. 13.6 - Prob. 5LCCh. 13.6 - Prob. 6LCCh. 13.6 - Prob. 7LCCh. 13.6 - Prob. 8PPSECh. 13.6 - Prob. 9PPSECh. 13.6 - Prob. 10PPSECh. 13.6 - Prob. 11PPSECh. 13.6 - Prob. 12PPSECh. 13.6 - Prob. 13PPSECh. 13.6 - Prob. 14PPSECh. 13.6 - Prob. 15PPSECh. 13.6 - Prob. 16PPSECh. 13.6 - Prob. 17PPSECh. 13.6 - Prob. 18PPSECh. 13.6 - Prob. 19PPSECh. 13.6 - Prob. 20PPSECh. 13.6 - Prob. 21PPSECh. 13.6 - Prob. 22PPSECh. 13.6 - Prob. 23PPSECh. 13.6 - Prob. 24PPSECh. 13.6 - Prob. 25PPSECh. 13.6 - Prob. 26PPSECh. 13.6 - Prob. 27PPSECh. 13.6 - Prob. 28PPSECh. 13.6 - Prob. 29PPSECh. 13.6 - Prob. 30PPSECh. 13.6 - Prob. 31PPSECh. 13.6 - Prob. 32PPSECh. 13.6 - Prob. 33PPSECh. 13.6 - Prob. 34PPSECh. 13.6 - Prob. 35PPSECh. 13.6 - Prob. 36PPSECh. 13.6 - Prob. 37PPSECh. 13.6 - Prob. 38PPSECh. 13.6 - Prob. 39PPSECh. 13.6 - Prob. 40PPSECh. 13.6 - Prob. 41PPSECh. 13.6 - Prob. 42PPSECh. 13.6 - Prob. 43PPSECh. 13.6 - Prob. 44PPSECh. 13.6 - Prob. 45PPSECh. 13.6 - Prob. 46PPSECh. 13.6 - Prob. 47PPSECh. 13.6 - Prob. 48PPSECh. 13.6 - Prob. 49PPSECh. 13.6 - Prob. 50PPSECh. 13.6 - Prob. 51PPSECh. 13.6 - Prob. 52PPSECh. 13.6 - Prob. 53PPSECh. 13.6 - Prob. 54PPSECh. 13.6 - Prob. 55PPSECh. 13.6 - Prob. 56PPSECh. 13.6 - Prob. 57PPSECh. 13.6 - Prob. 58PPSECh. 13.6 - Prob. 59PPSECh. 13.6 - Prob. 60PPSECh. 13.6 - Prob. 61PPSECh. 13.6 - Prob. 62PPSECh. 13.6 - Prob. 63PPSECh. 13.6 - Prob. 64PPSECh. 13.6 - Prob. 65PPSECh. 13.6 - Prob. 66PPSECh. 13.6 - Prob. 67PPSECh. 13.6 - Prob. 68PPSECh. 13.7 - Prob. 1LCCh. 13.7 - Prob. 2LCCh. 13.7 - Prob. 3LCCh. 13.7 - Prob. 4LCCh. 13.7 - Prob. 5LCCh. 13.7 - Prob. 6PPSECh. 13.7 - Prob. 7PPSECh. 13.7 - Prob. 8PPSECh. 13.7 - Prob. 9PPSECh. 13.7 - 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